221312032344 has 192 divisors, whose sum is σ = 656742340800. Its totient is φ = 66911616000.

The previous prime is 221312032343. The next prime is 221312032363. The reversal of 221312032344 is 443230213122.

221312032344 is a `hidden beast` number, since 2 + 2 + 1 + 312 + 0 + 3 + 2 + 344 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221312032343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108538477 + ... + 108540515.

It is an arithmetic number, because the mean of its divisors is an integer number (3420533025).

Almost surely, 2^221312032344 is an apocalyptic number.

221312032344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221312032344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328371170400).

221312032344 is an abundant number, since it is smaller than the sum of its proper divisors (435430308456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221312032344 is a wasteful number, since it uses less digits than its factorization.

221312032344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 221312032344 its reverse (443230213122), we get a palindrome (664542245466).

The spelling of 221312032344 in words is "two hundred twenty-one billion, three hundred twelve million, thirty-two thousand, three hundred forty-four".